- #1
yango_17
- 60
- 1
Homework Statement
Consider the vectors ##\vec{v_{1}},\vec{v_{2}},...,\vec{v_{m}}## in ##\mathbb{R}^{n}##. Is span ##(\vec{v_{1}},...,\vec{v_{m}})## necessarily a subspace of ##\mathbb{R}^{n}##? Justify your answer.
Homework Equations
The Attempt at a Solution
I understand the three conditions required for a subset to be a subspace (includes zero vector, closed under addition, closed under scalar multiplication), but I am not sure how to go about testing these properties with the span. Any help would be appreciated. Thanks.